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Finding the Fourth Proportional to 367.96, 507.99 and 256.09

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Solution

The fourth proportional to 367.96, 507.99 and 256.09 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.96 : 507.99 = 256.09 : x
  2. Step 2: Convert to fraction form
    367.96/507.99 = 256.09/x
  3. Step 3: Cross multiply
    367.96x = 507.99 × 256.09
  4. Step 4: Simplify right side
    367.96x = 130,088.62
  5. Step 5: Solve for x
    x = 130,088.62/367.96
  6. Step 6: Final answer
    x = 353.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.